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Finding the Third Proportional to 438,592 and 937,088

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Solution

The third proportional to 438,592 and 937,088 is: 2,002,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,592 : 937,088 = 937,088 : x
  2. Step 2: Convert to fraction form
    438,592/937,088 = 937,088/x
  3. Step 3: Cross multiply
    438,592x = 937,088 × 937,088
  4. Step 4: Simplify right side
    438,592x = 878,133,919,744
  5. Step 5: Solve for x
    x = 878,133,919,744/438,592
  6. Step 6: Final answer
    x = 2,002,165.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.